25748980994880 has 672 divisors, whose sum is σ = 104077265056128. Its totient is φ = 5760460800000.

The previous prime is 25748980994857. The next prime is 25748980994921. The reversal of 25748980994880 is 8849908984752.

25748980994880 is a `hidden beast` number, since 2 + 5 + 7 + 48 + 9 + 8 + 0 + 99 + 488 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25748980994880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2288589255 + ... + 2288600505.

It is an arithmetic number, because the mean of its divisors is an integer number (154876882524).

Almost surely, 2^{25748980994880} is an apocalyptic number.

25748980994880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25748980994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52038632528064).

25748980994880 is an abundant number, since it is smaller than the sum of its proper divisors (78328284061248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25748980994880 is a wasteful number, since it uses less digits than its factorization.

25748980994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16855 (or 16842 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 81.

The spelling of 25748980994880 in words is "twenty-five trillion, seven hundred forty-eight billion, nine hundred eighty million, nine hundred ninety-four thousand, eight hundred eighty".